{
"@context": "http://schema.org",
"@type": "Thesis",
"@id": "https://doi.org/10.6082/uchicago.3365",
"url": "https://knowledge.uchicago.edu/record/3365",
"additionalType": "Dissertation",
"name": "$T{\\bar T}$ and Holography",
"author": {
"name": "Asrat Demise",
"givenName": "Asrat",
"familyName": "Demise",
"@type": "Person"
},
"description": "In recent years, there have been two independent but related developments in the study of irrelevant deformations in two dimensional quantum field theories (QFTs). The first development is the deformation of a two dimensional QFT by the determinant of the energy momentum stress tensor, commonly referred to as $T{\\bar T}$ deformation. The second development is in two dimensional holographic field theories which are dual to string theory in asymptotically Anti-de Sitter (AdS) spacetimes. In this latter development, the deformation is commonly referred to as single-trace $T{\\bar T}$ deformation. The single-trace $T{\\bar T}$ deformation corresponds in the bulk to a string background that interpolates between AdS spacetime in the infrared (IR) and a linear dilaton spacetime (vacuum of little string theory (LST)) in the ultraviolet (UV). It serves as a useful tool and guide to better understand and explore holography in asymptotically AdS and non-AdS spacetimes in a controlled setting. In particular, it is useful to gain insights into holography in flat spacetimes. The dissertation is devoted to the study of single-trace $T{\\bar T}$ deformation and its single-trace generalizations in theories with $U(1)$ currents, namely $J\\bar T$ and $T\\bar J$ deformations, in the context of gauge/gravity duality. In the dissertation I present new results in the study of holography in asymptotically non-AdS spacetimes. I discuss two point correlation functions in single-trace $T{\\bar T}$ deformation, and entanglement entropy and entropic $c$-function in single-trace $T{\\bar T}$, $J\\bar T$ and $T\\bar J$ deformations. I show that two point functions in position space have both real parts and imaginary parts. I also show that the imaginary parts are non-perturbative. The imaginary parts correspond in momentum space to branch cuts, which signal non-locality. I obtain exact result for entanglement entropy associated with a spatial region of finite size. I also show that in the UV for a particular combination of the deformation couplings the leading order dependence of the entanglement entropy on the size is given by a square root but not logarithmic function. Such power law dependence of the entanglement entropy on the size is quite distinct and interesting. I also give exact result for the entropic $c$-function and show that it is regularization schemes independent, positive and monotonic, which are similar to the behaviors observed in conventional local QFTs. I also discuss its distinctive features in the UV.",
"keywords": "Theoretical physics",
"inLanguage": "en",
"datePublished": "2021",
"schemaVersion": "http://datacite.org/schema/kernel-4",
"publisher": {
"@type": "Organization",
"name": "The University of Chicago"
},
"provider": {
"@type": "Organization",
"name": "datacite"
}
}